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Graduate Texts in Mathematics

Algebraic Function Fields and Codes

Authors: Stichtenoth, Henning

  • Well-established popular textbook

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eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-540-76878-4
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Hardcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-540-76877-7
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-642-09556-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

The theory of algebraic function fields has its origins in number theory, complex analysis (compact Riemann surfaces), and algebraic geometry. Since about 1980, function fields have found surprising applications in other branches of mathematics such as coding theory, cryptography, sphere packings and others. The main objective of this book is to provide a purely algebraic, self-contained and in-depth exposition of the theory of function fields.

This new edition, published in the series Graduate Texts in Mathematics, has been considerably expanded. Moreover, the present edition contains numerous exercises. Some of them are fairly easy and help the reader to understand the basic material. Other exercises are more advanced and cover additional material which could not be included in the text.

This volume is mainly addressed to graduate students in mathematics and theoretical computer science, cryptography, coding theory and electrical engineering.

Reviews

From the reviews of the second edition:

"In this book we have an exposition of the theory of function fields in one variable from the algebraic point of view … . The book is carefully written, the concepts are well motivated and plenty of examples help to understand the ideas and proofs and so it can be used as a textbook for an introductory course on the (classical) arithmetic of function fields with an application to coding theory." (Felipe Zaldivar, MAA Online, January, 2009)


Table of contents (9 chapters)

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-3-540-76878-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-540-76877-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-642-09556-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Function Fields and Codes
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
254
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-76878-4
DOI
10.1007/978-3-540-76878-4
Hardcover ISBN
978-3-540-76877-7
Softcover ISBN
978-3-642-09556-6
Series ISSN
0072-5285
Edition Number
2
Number of Pages
XIV, 360
Additional Information
Originally published in the series: Universitext
Topics